People consider rolling dice to be random only because they lack the skill and intelligence to consistently roll what they want, not because it is inherently chaotic. amirite?

But it IS inherently chaotic. Chaotic doesn't mean that it evades the calculable laws of physics, but that it can't be predicted due to too many parameter.

I think it is a chaotic process i.e. small changes in the initial circumstance of the roll can produce completely different results

It is random if you just pick them up and roll them. If you look at them and purposely attempt to get a certain result, it's no longer random.

Nothing is random if you do something to control the results.